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Finding the Third Proportional to 476,408 and 1,046,136

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Solution

The third proportional to 476,408 and 1,046,136 is: 2,297,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,408 : 1,046,136 = 1,046,136 : x
  2. Step 2: Convert to fraction form
    476,408/1,046,136 = 1,046,136/x
  3. Step 3: Cross multiply
    476,408x = 1,046,136 × 1,046,136
  4. Step 4: Simplify right side
    476,408x = 1,094,400,530,496
  5. Step 5: Solve for x
    x = 1,094,400,530,496/476,408
  6. Step 6: Final answer
    x = 2,297,191.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.